22138732224 has 168 divisors, whose sum is σ = 72754894368. Its totient is φ = 6305034240.

The previous prime is 22138732223. The next prime is 22138732331. The reversal of 22138732224 is 42223783122.

22138732224 is a `hidden beast` number, since 2 + 21 + 387 + 32 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22138732223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269484 + ... + 1286804.

Almost surely, 2^22138732224 is an apocalyptic number.

22138732224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36377447184).

22138732224 is an abundant number, since it is smaller than the sum of its proper divisors (50616162144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22138732224 is a wasteful number, since it uses less digits than its factorization.

22138732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17663 (or 17650 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 22138732224 in words is "twenty-two billion, one hundred thirty-eight million, seven hundred thirty-two thousand, two hundred twenty-four".